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Finding the Fourth Proportional to 130,650, 195,975.96 and 32,154

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Solution

The fourth proportional to 130,650, 195,975.96 and 32,154 is: 48,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,650 : 195,975.96 = 32,154 : x
  2. Step 2: Convert to fraction form
    130,650/195,975.96 = 32,154/x
  3. Step 3: Cross multiply
    130,650x = 195,975.96 × 32,154
  4. Step 4: Simplify right side
    130,650x = 6,301,411,017.84
  5. Step 5: Solve for x
    x = 6,301,411,017.84/130,650
  6. Step 6: Final answer
    x = 48,231.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.